An efficient bilinear interface reconstruction algorithm and consistent multidimensional unsplit advection scheme for accurate capturing of highly-curved interfacial shapes on structured grids

An efficient bilinear interface reconstruction algorithm and consistent multidimensional unsplit advection scheme for accurate capturing of highly-curved interfacial shapes on structured grids

van der Eijk, M. (TU Delft Ship Hydromechanics)
Wellens, P.R. (TU Delft Ship Hydromechanics and Structures)

2024

A new bilinear interface reconstruction algorithm (BLIC) is presented to capture highly-curved interfaces more accurately on structured grids without a significant increase in computational costs compared to the standard piecewise linear interface calculation (PLIC) methods. The new reconstruction algorithm uses the initial PLIC segment and improves continuity of the interface using an averaging method. A curvature-weighted method improves the repositioning of the linear segments. A new unsplit donating quadrant advection (DQA) scheme is introduced that is conservative and can create consistency with the momentum flux for two-phase flow models with a staggered MAC arrangement of variables within a grid cell. The consistent discretization of the fluxes prevents spurious interface velocities, negative densities, and instabilities. Standard 2D test cases and benchmarks demonstrate the performance of the BLIC and the DQA scheme, showing high accuracy and low costs compared to other available methods.

Bilinear interface reconstruction
Interface capturing
Multiphase flow
Unsplit advection scheme
Volume of fluid

http://resolver.tudelft.nl/uuid:c224e646-2ccd-47bc-8718-1224caf447b1

https://doi.org/10.1016/j.jcp.2023.112656

0021-9991

Journal of Computational Physics, 498

Institutional Repository

journal article

© 2024 M. van der Eijk, P.R. Wellens